Pricing Asian options in a semimartingale model

Jan Vecer and Mingxin Xu

Quantitative Finance, 2004, vol. 4, issue 2, 170-175

Abstract: In this paper we studyy arithmetic Asian options when the underlying stock is driven by special semimartingale processes. We show that the inherently path dependent problem of pricing Asian options can be transformed into a problem without path dependence in the payoff function. We also show that the price is driven by a process with independent increments, Levy processes being a special case. This approach applies for both discretely or continuously options.

Date: 2004
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DOI: 10.1080/14697680400000021

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